Class 10MathematicsChapter 1: Real Numbers

Key Formulas

Summary of key formulas for Real Numbers.

Concept	Formula
Euclid's Division Lemma	$a = bq + r, \; 0 \leq r < b$
HCF-LCM Relation	$\text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b$
Prime Factorisation	$n = p_1^{a_1} \cdot p_2^{a_2} \cdots p_k^{a_k}$

Irrationality of Square Root 2

Proof by contradiction that the square root of 2 is irrational.

Introduction to Quadratic Equations

Definition and standard form of quadratic equations.